A continuous circle of pseudo-arcs filling up the annulus

Janusz R. Prajs
1999 Transactions of the American Mathematical Society  
We prove an early announcement by Knaster on a decomposition of the plane. Then we establish an announcement by Anderson saying that the plane annulus admits a continuous decomposition into pseudo-arcs such that the quotient space is a simple closed curve. This provides a new plane curve, "a selectible circle of pseudo-arcs", and answers some questions of Lewis.
doi:10.1090/s0002-9947-99-02330-2 fatcat:ylhbuwgivngf3jjlka63qiy4je